Full text: Vol. III. (3)

178 
Book III. 
AFFINITY. 
so that the next lamina has for its superior face the 
square B'M'LS (fig. 26.), less by one range in every 
direction than the preceding lamina (fig. 25.) This 
square must be placed so that the points e,f,g,b, 
(fig. 26.) correspond to the points e, f, g, b, (fig. 25.) 
Figures 27, 28, 29, and 30, represent the four laminae 
which ought to rise successively above the preceding; 
the manner of placing them being pointed out by cor 
responding letters, as was done with respect to the 
three first laminae. The last lamina z (fig. 31.) is a 
single cube, which ought to be placed upon the square 
2 (fig. 30.) 
The laminae of superposition, thus applied upon the 
side ABCD (fig. 23.), evidently produce four faces, 
which correspond to the points A, B, C, D, and form 
a pyramid. These faces, having been formed by la 
minae, which began by increasing, and atterwards de 
creased, must be quadrilaterals of the figure represented 
in fig. 32.; in which the inferior angle C is the same 
point with the angle C of the nucleus (fig. 22. and 23.); 
and the diagonal LQ represents L'G' of the lamina 
AGLK (fig. 25.) And as the number of laminae 
composing the triangle LQC (fig. 32.) is much smaller 
than that of the laminae forming the triangle ZLQ, it 
is evident that the latter triangle will have a much 
greater height than the former. 
The surface, then, of the secondary crystal thus pro 
duced, must evidently consist of 24 quadrilaterals (for 
pyramids are raised on the other 5 sides of the primary 
cube exactly in the same manner, disposed 3 and 3 a 
round each solid angle of the nucleus. But in conse 
quence of the decrement by one range, the three qua 
drilaterals which belong to each solid angle, as C (fig.
	        
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